<i>C</i> 1 Pesin (un)Stable Manifolds Without Domination
Abstract For $C^{1}$ diffeomorphisms with continuous invariant splitting without domination, we prove the existence of (un)stable manifolds under the hyperbolicity of invariant measures.
Authors
- Rui Zou (ORCID: https://orcid.org/0000-0002-0542-1264)
- Yongluo Cao (ORCID: https://orcid.org/0000-0001-6223-7482)
- Zeya Mi
Institutions
- Nanjing University of Information Science and Technology (CN)
- Soochow University (CN)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-09-29
- DOI
- https://doi.org/10.1093/imrn/rnaf298
- Citations
- 1
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 3.69